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Successive approximations to 11-adic integer sqrt(3).
2

%I #10 Nov 14 2018 08:39:32

%S 0,5,27,753,11401,26042,1475501,17419550,95368234,738444877,

%T 21959974096,73834823298,2356328188186,11771613318349,149862461894073,

%U 3567610964143242,7744859133558893,421292427905708342,1937633513403589655

%N Successive approximations to 11-adic integer sqrt(3).

%C Terms of A321072 without repetition. - _Jianing Song_, Oct 31 2018

%D K. Mahler, Introduction to p-Adic Numbers and Their Functions, Cambridge, 1973, p. 35.

%H Jianing Song, <a href="/A034946/b034946.txt">Table of n, a(n) for n = 0..543</a>

%o (PARI) sqrt(3+O(11^40))

%o (PARI) A321072(n) = truncate(sqrt(3+O(11^n)))

%o for(n=0, 50, if(valuation(A321072(n)^2-3, 11)!=valuation(A321072(n+1)^2-3, 11), print1(A321072(n), ", "))) \\ _Jianing Song_, Nov 01 2018

%Y Cf. A321072.

%K nonn

%O 0,2

%A _N. J. A. Sloane_.